1 . 在△ABC中,AB=AC,∠BAC=120°,以CA为边在∠ACB的另一侧作∠ACM=∠ACB,点D为射线BC上任意一点,在射线CM上截取CE=BD,连接AD、DE、AE.
(1)如图1,当点D落在线段BC的延长线上时,求∠ADE的度数;
(2)如图2,当点D落在线段BC(不含边界)上时,AC与DE交于点F,试问∠ADE的度数是否发生变化?如果不变化,请给出理由;如果变化了,请求出∠ADE的度数;
(3)在(2)的条件下,若AB=6,求CF的最大值.
(1)如图1,当点D落在线段BC的延长线上时,求∠ADE的度数;
(2)如图2,当点D落在线段BC(不含边界)上时,AC与DE交于点F,试问∠ADE的度数是否发生变化?如果不变化,请给出理由;如果变化了,请求出∠ADE的度数;
(3)在(2)的条件下,若AB=6,求CF的最大值.
![](https://img.xkw.com/dksih/QBM/2020/7/9/2502307438288896/2502850281070592/STEM/0ffc7ca457ae46f59e80dcda8c513b00.png?resizew=376)
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2 . 如图,在
中,
是弧
的中点,作点
关于弦
的对称点
,连接
并延长交
于点
,过点
作
于点
,若
,则
等于_________ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb91cb9a5a14169845d700fbd95890ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391e6d4b2669ec87b144ccd72b4833e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb65bee4fb8c2cbdd36e318cd652f928.png)
![](https://img.xkw.com/dksih/QBM/2020/6/22/2490335284396032/2493091453321217/STEM/d8e010de6a45455f97130d3e177a44ab.png?resizew=189)
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2020-06-26更新
|
981次组卷
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3卷引用:2020年福建省福州市九年级下学期质量检测二检数学试题
2020年福建省福州市九年级下学期质量检测二检数学试题浙江省温州市部分学校2022-2023学年九年级上学期数学期末学情调查试题(已下线)浙江省温州市部分学校2022-2023学年九年级上学期数学期末试题变式题11-15
3 . 定义:如点M、N把线段AB分割成AM、MN、BN,若以AM、MN、BN,为边的三角形是一个直角三角形,则称点M、N是线段AB的勾股分割点.
![](https://img.xkw.com/dksih/QBM/2020/6/22/2490217899876352/2492513799528448/STEM/d3d8e508a7114de1a6bb67012106067f.png?resizew=655)
(1)如图2,已知点C、D是线段AB的勾股分割点,若AC=3,DB=4,求CD的长;
(2)如图3,在正方形ABCD中,∠MAM=45°,角的两边AM、AN分别交BD于E、F(不与端点重合),求证:E、F是BD的勾股分割点.
![](https://img.xkw.com/dksih/QBM/2020/6/22/2490217899876352/2492513799528448/STEM/d3d8e508a7114de1a6bb67012106067f.png?resizew=655)
(1)如图2,已知点C、D是线段AB的勾股分割点,若AC=3,DB=4,求CD的长;
(2)如图3,在正方形ABCD中,∠MAM=45°,角的两边AM、AN分别交BD于E、F(不与端点重合),求证:E、F是BD的勾股分割点.
您最近一年使用:0次
4 . 如图,△ABC是等边三角形,△ADC与△ABC关于直线AC对称,AE与CD垂直交BC的延长线于点E,∠EAF=45°,且AF与AB在AE的两侧,EF⊥AF.
(1)依题意补全图形.
(2)①在AE上找一点P,使点P到点B,点C的距离和最短;
(1)依题意补全图形.
(2)①在AE上找一点P,使点P到点B,点C的距离和最短;
②求证:点D到AF,EF的距离相等.
![](https://img.xkw.com/dksih/QBM/2020/6/20/2488491326734336/2492463358328832/STEM/a7f543df353344689d6e479d8033fa9c.png?resizew=160)
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解题方法
5 . 探究题:如图1,
和
均为等边三角形,点
在边
上,连接
.
![](https://img.xkw.com/dksih/QBM/2020/6/10/2481434061520896/2483948757721088/STEM/ce35189e9f0c4ed08079c1c085f109f5.png?resizew=148)
(1)请你解答以下问题:
①求
的度数;
②写出线段
,
,
之间数量关系,并说明理由.
(2)拓展探究:如图2,
和
均为等腰直角三角形,
,点
在边
上,连接
.请判断
的度数及线段
,
,
之间的数量关系,并说明理由.
![](https://img.xkw.com/dksih/QBM/2020/6/10/2481434061520896/2483948757721088/STEM/ed36df4e2e664435b59594dbe59be47e.png?resizew=175)
(3)解决问题:如图3,在四边形
中,
,
,
,
与
交于点
.若
恰好平分
,请直接写出线段
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2020/6/10/2481434061520896/2483948757721088/STEM/ce35189e9f0c4ed08079c1c085f109f5.png?resizew=148)
(1)请你解答以下问题:
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2db6311e228ed33b6c71d0a5918cf.png)
②写出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)拓展探究:如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26813466e2ee49a493881a4384fc8748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2db6311e228ed33b6c71d0a5918cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2020/6/10/2481434061520896/2483948757721088/STEM/ed36df4e2e664435b59594dbe59be47e.png?resizew=175)
(3)解决问题:如图3,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b6e08fde74010412a6f14ad4dfbcc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2020/6/10/2481434061520896/2483948757721088/STEM/fe2dc10f7c5c420fa19a267eaf80c0df.png?resizew=131)
您最近一年使用:0次
解题方法
6 . 如图,四边形
,
均为菱形,
,连结
,
,
,
,若
,菱形
的周长为12,则菱形
的周长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f13007c6d134c50004c62dc240707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e6f5241f614c7d310cbf3e25a6d615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedfb7e187720b35504d90fc0b59ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45cadfec8bd192111ad163a231314c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255dd434c47872cfe5fee20179ae9e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f13007c6d134c50004c62dc240707.png)
![](https://img.xkw.com/dksih/QBM/2020/5/19/2466152340668416/2466754052890624/STEM/64847675-c2f2-4701-8d35-e29d9787d715.png)
您最近一年使用:0次
2020-05-20更新
|
285次组卷
|
6卷引用:浙江省温州市三校2019-2020学年九年级下学期联考模拟数学试题
浙江省温州市三校2019-2020学年九年级下学期联考模拟数学试题(已下线)【新东方】【温州】【初三下】【数学】【00083】(已下线)专题24.5 构造直角三角形解题四大题型-2023-2024学年九年级数学上册举一反三系列(华东师大版)(已下线)专题23.3 构造直角三角形解题四大题型-2023-2024学年九年级数学上册举一反三系列(沪科版)(已下线)专题24.8 解直角三角形章末九大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(华东师大版)(已下线)专题23.6 解直角三角形章末九大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(沪科版)
解题方法
7 . (1)问题发现
如图1,
和
均为等边三角形,直线AD和直线BE交于点F.
填空:①
的度数是____;②线段AD,BE之间的数量关系为________;
(2)类比探究
如图2,
和
均为等腰直角三角形,
,直线AD和直线BE交于点F.请判断
的度数及线段AD,BE之间的数量关系,并说明理由,
(3)如图3,在
中,
,点D在AB边上,
,
,将
绕着点A在平面内旋转,请直接写出直线DE经过点B时,点C到直线DE的距离.
如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4b17ce6e90cd3810a3696262e94c1e.png)
填空:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36719f1e764ee0e719b65c49fae84677.png)
(2)类比探究
如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4b17ce6e90cd3810a3696262e94c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47b22648879c0e9310a8f1db157ccbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36719f1e764ee0e719b65c49fae84677.png)
(3)如图3,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0fc4483f35ead08cb2c18c2e10409c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86338536656046e93b53672ade9a78b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
您最近一年使用:0次
2020-05-10更新
|
194次组卷
|
8卷引用:【区级联考】河南省周口市川汇区2019届九年级上学期 期末数学试题
【区级联考】河南省周口市川汇区2019届九年级上学期 期末数学试题2019年河南省新野县九年级第二次中考模拟数学试题河南省洛阳市伊滨区2019-2020学年九年级第三次联考数学试题2020年河南省洛阳市伊滨区中考数学三模试题(已下线)【万唯原创】河南省中考数学-河南缺题-类比探究中(已下线)专题12 手拉手模型证相似-【微专题】2022-2023学年九年级数学下册常考点微专题提分精练(人教版)(已下线)专题17 手拉手旋转模型证相似-【微专题】2022-2023学年九年级数学下册常考点微专题提分精练(苏科版)2024年内蒙古自治区赤峰市松山区中考三模数学试题
名校
8 . 如图,正方形
的边
,
在坐标轴上,点
的坐标为
.点
从点
出发,以每秒1个单位长度的速度沿
轴向点
运动;点
从点
同时出发,以相同的速度沿
轴的正方向运动,规定点
到达点
时,点
也停止运动,连接
,过
点作
的垂线,与过点
平行于
轴的直线
相交于点
,
与
轴交于点
,连接
,设点
运动的时间为
秒.
(1)线段
(用含
的式子表示),点
的坐标为 (用含
的式子表示),
的度数为 .
(2)经探究
周长是一个定值,不会随时间
的变化而变化,请猜测周长的值并证明.
(3)①当
为何值时,有
.
②
的面积能否等于
周长的一半,若能求出此时
的长度;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e3fa43e765646223675ef9bbd6d2f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34abea0002d585f202c1d3681eb3ad30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9985eaef9e31b243d5aaf89b71f66075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e98f2e85bdf9c6669c14f8966ed53be.png)
(2)经探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c9cb7df032d22c4722bb2ab8d411f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5d4c7feb93c8ee84f1b3c39f73ce0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c9cb7df032d22c4722bb2ab8d411f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c9cb7df032d22c4722bb2ab8d411f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://img.xkw.com/dksih/QBM/2020/4/21/2446229771427840/2446485983969280/STEM/10194d5a204943679783ccc8af583e5e.png?resizew=217)
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9 . 如图1,在平面直角坐标系中,直线AB分别交y轴、x轴于点A(0,a),点B(b,0),且a、b满足a2-4a+4+
=0.
(1)求a,b的值;
(2)以AB为边作Rt△ABC,点C在直线AB的右侧,且∠ACB=45°,求点C的坐标;
(3)若(2)的点C在第四象限(如图2),AC与 x轴交于点D,BC与y轴交于点E,连接 DE,过点C作CF⊥BC交x轴于点F.
①求证:CF=
BC;
②直接写出点C到DE的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/36e18f5c-0f6f-4d47-a18b-1ce6fd8dcc08.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c1a6d64155295cf6ecf34da4514c60.png)
(1)求a,b的值;
(2)以AB为边作Rt△ABC,点C在直线AB的右侧,且∠ACB=45°,求点C的坐标;
(3)若(2)的点C在第四象限(如图2),AC与 x轴交于点D,BC与y轴交于点E,连接 DE,过点C作CF⊥BC交x轴于点F.
①求证:CF=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
②直接写出点C到DE的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/36e18f5c-0f6f-4d47-a18b-1ce6fd8dcc08.png?resizew=191)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/7/e2659584-11eb-4420-ab0b-beb554bae5cd.png?resizew=180)
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2020-04-12更新
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640次组卷
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8卷引用:湖北省十堰市丹江口市2019-2020学年八年级上学期期末数学试题
10 . 如图,AB是⊙O的直径,BM切⊙O于点B,点P是⊙O上的一个动点(点P不与A,B两点重合),连接AP,过点O作OQ∥AP交BM于点Q,过点P作PE⊥AB于点C,交QO的延长线于点E,连接PQ,OP.
(1)求证:△BOQ≌△POQ;
(2)若直径AB的长为12.
①当PE= 时,四边形BOPQ为正方形;
②当PE= 时,四边形AEOP为菱形.
(1)求证:△BOQ≌△POQ;
(2)若直径AB的长为12.
①当PE= 时,四边形BOPQ为正方形;
②当PE= 时,四边形AEOP为菱形.
![](https://img.xkw.com/dksih/QBM/2020/4/6/2435436117532672/2435640748417024/STEM/cec8647f0a244b11956f8ee0eaba1352.png?resizew=161)
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